Answer: <u><em>512</em></u>
Step-by-step explanation: <u><em>the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a frequency of 512 cycles per second. Find the frequency of an 8-inch string.</em></u>
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Mrs. Walters : 360/25 = 14.4 miles per gallon
Mr. Walter : 480/32 = 15 miles per gallon
Mr. Walter is getting better mileage per gallon
It will be 6hours and a half an hour I hope this helps
Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
Answer:
<em>6 inches</em>
Step-by-step explanation:
The mode is the most frequently occurring number.
The mode of Martha's Fish is 21.
The mode of Jamie's Fish is 15.
21 - 15 = 6
The mode of Martha's fish is<em> 6 inches</em> longer than the mode of Jamie's fish.
